fix dualnumbers real/eps part (#793)

Project.toml

@@ -1,6 +1,6 @@
 name = "ApproxFun"
 uuid = "28f2ccd6-bb30-5033-b560-165f7b14dc2f"
-version = "0.13.6"
+version = "0.13.7"
 
 [deps]
 AbstractFFTs = "621f4979-c628-5d54-868e-fcf4e3e8185c"

README.md

@@ -2,15 +2,15 @@
 
 [![](https://img.shields.io/badge/docs-stable-blue.svg)](https://JuliaApproximation.github.io/ApproxFun.jl/stable)
 [![](https://img.shields.io/badge/docs-latest-blue.svg)](https://JuliaApproximation.github.io/ApproxFun.jl/latest)
-[![Build Status](https://travis-ci.org/JuliaApproximation/ApproxFun.jl.svg?branch=master)](https://travis-ci.org/JuliaApproximation/ApproxFun.jl) 
+[![Build Status](https://travis-ci.org/JuliaApproximation/ApproxFun.jl.svg?branch=master)](https://travis-ci.org/JuliaApproximation/ApproxFun.jl)
 [![Build status](https://ci.appveyor.com/api/projects/status/40qmoxp189pwtuda?svg=true)](https://ci.appveyor.com/project/dlfivefifty/approxfun-jl)
 [![codecov](https://codecov.io/gh/JuliaApproximation/ApproxFun.jl/branch/master/graph/badge.svg)](https://codecov.io/gh/JuliaApproximation/ApproxFun.jl)
 [![Join the chat at https://gitter.im/JuliaApproximation/ApproxFun.jl](https://badges.gitter.im/JuliaApproximation/ApproxFun.jl.svg)](https://gitter.im/JuliaApproximation/ApproxFun.jl?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge)
 
 
 
 ApproxFun is a package for approximating functions. It is in a similar vein to the Matlab
-package [`Chebfun`](http://www.chebfun.org) and the Mathematica package [`RHPackage`](https://github.com/dlfivefifty/RHPackage).  
+package [`Chebfun`](http://www.chebfun.org) and the Mathematica package [`RHPackage`](https://github.com/dlfivefifty/RHPackage).
 
 The  [`ApproxFun Documentation`](https://JuliaApproximation.github.io/ApproxFun.jl/latest) contains detailed information, or read on for a brief overview of the package.
 
@@ -197,7 +197,7 @@ d = ChebyshevInterval()^2                   # Defines a rectangle
 Δ = Laplacian(d)                            # Represent the Laplacian
 f = ones(∂(d))                              # one at the boundary
 u = \([Dirichlet(d); Δ+100I], [f;0.];       # Solve the PDE
-                tolerance=1E-5)             
+                tolerance=1E-5)
 surface(u)                                  # Surface plot
 ```
 

src/Extras/dualnumbers.jl

@@ -2,8 +2,8 @@
 real(::Type{Dual{T}}) where {T} = Dual{ApproxFun.real(T)}
 
 # Dual number support. Should there be realpart and dualpart of Space and Domain?
-DualNumbers.realpart(f::Fun{S,T}) where {S,T<:Dual} = Fun(space(f),realpart(coefficients(f)))
-DualNumbers.dualpart(f::Fun{S,T}) where {S,T<:Dual} = Fun(space(f),dualpart(coefficients(f)))
+DualNumbers.realpart(f::Fun{S,T}) where {S,T<:Dual} = Fun(space(f),realpart.(coefficients(f)))
+DualNumbers.dualpart(f::Fun{S,T}) where {S,T<:Dual} = Fun(space(f),dualpart.(coefficients(f)))
 
 
 DualNumbers.realpart(d::Segment{<:Dual}) = Segment(realpart(leftendpoint(d)),realpart(rightendpoint(d)))

test/ExtrasTest.jl

@@ -44,6 +44,10 @@ import ApproxFun: eigs
             ud = [B;D+a] \ [2.0,0.0]
             @test absdual(u(0.5)  - dual(ur(0.5),ud(0.5))) < 10eps()
         end
+
+        f=Fun(x->exp(dual(x,1)),-1..1)
+        @test coefficients(realpart(f)) == realpart.(coefficients(f))
+        @test coefficients(dualpart(f)) == dualpart.(coefficients(f))
     end
 
     @testset "Eig test #336" begin